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Some integral inequalities for generalized preinvex functions with applications

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dc.contributor.author Tariq, Muhammad
dc.contributor.author Sahoo, Soubhagya Kumar
dc.contributor.author Jarad, Fahd
dc.contributor.author Kodamasingh, Bibhakar
dc.date.accessioned 2023-01-12T06:49:04Z
dc.date.available 2023-01-12T06:49:04Z
dc.date.issued 2021
dc.identifier.citation Tariq, Muhammad...et al. (2021). "Some integral inequalities for generalized preinvex functions with applications", AIMS MATHEMATICS, Vol. 6, No. 12, pp. 13907-13930. tr_TR
dc.identifier.issn 2473-6988
dc.identifier.uri http://hdl.handle.net/20.500.12416/6045
dc.description.abstract The main objective of this work is to explore and characterize the idea of s-type preinvex function and related inequalities. Some interesting algebraic properties and logical examples are given to support the newly introduced idea. In addition, we attain the novel version of Hermite-Hadamard type inequality utilizing the introduced preinvexity. Furthermore, we establish two new identities, and employing these, we present some refinements of Hermite-Hadamard-type inequality. Some special cases of the presented results for di fferent preinvex functions are deduced as well. Finally, as applications, some new inequalities for the arithmetic, geometric and harmonic means are established. Results obtained in this paper can be viewed as a significant improvement of previously known results. The awe-inspiring concepts and formidable tools of this paper may invigorate and revitalize for additional research in this worthy and absorbing field. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3934/math.2021805 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Preinvex Function tr_TR
dc.subject Holder's Inequality tr_TR
dc.subject Holder-Iscan Inequality tr_TR
dc.subject Improved Power-Mean Integral Inequality tr_TR
dc.subject S-Type Preinvexity tr_TR
dc.title Some integral inequalities for generalized preinvex functions with applications tr_TR
dc.type article tr_TR
dc.relation.journal AIMS MATHEMATICS tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 6 tr_TR
dc.identifier.issue 12 tr_TR
dc.identifier.startpage 13907 tr_TR
dc.identifier.endpage 13930 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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